By Jonathan Borwein,Alf van der Poorten,Jeffrey Shallit,Wadim Zudilin

regardless of their classical nature, persevered fractions are a neverending learn region, with a physique of effects obtainable sufficient to fit a large viewers, from researchers to scholars or even novice fanatics. Neverending Fractions brings those effects jointly, delivering clean views on a mature topic. starting with a customary creation to persevered fractions, the ebook covers a various variety of themes, from undemanding and metric houses, to quadratic irrationals, to extra unique subject matters corresponding to folded persevered fractions and Somos sequences. alongside the best way, the authors display a few outstanding purposes of the speculation to probably unrelated difficulties in quantity thought. formerly scattered through the literature, those functions are introduced jointly during this quantity for the 1st time. a wide selection of routines advisor readers during the fabric, to be able to be in particular invaluable to readers utilizing the booklet for self-study, and the authors additionally supply many tips to the literature.

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Neverending Fractions: An Introduction to Continued Fractions (Australian Mathematical Society Lecture Series) by Jonathan Borwein,Alf van der Poorten,Jeffrey Shallit,Wadim Zudilin


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